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Finding the Fourth Proportional to 803.56, 1,205.36 and 438.24

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Solution

The fourth proportional to 803.56, 1,205.36 and 438.24 is: 657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.56 : 1,205.36 = 438.24 : x
  2. Step 2: Convert to fraction form
    803.56/1,205.36 = 438.24/x
  3. Step 3: Cross multiply
    803.56x = 1,205.36 × 438.24
  4. Step 4: Simplify right side
    803.56x = 528,236.97
  5. Step 5: Solve for x
    x = 528,236.97/803.56
  6. Step 6: Final answer
    x = 657.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.